Question

The area.Of a rhombus is 225 sq.Cm . If the length of one diagonal is 15cm find the length of the other diagonal

Answer 1

$\bold{given \: : } \\ \\ area \: of \: a \: rhombus \: = \: 225 \: {cm}^{2} \\ \\ diagonal \: = \: 15 \: cm \:$




$to \: find \: the \: other \: diagonal \: use \: formula \: for \: area \: of \: rhombus \:$




$\bold{area \: of \: rhombus \: = \: \frac{1}{2} \times product \: of \: length \: of \: diagonals \: } \\ \\ area \: of \: rhombus \: = \: \frac{1}{2} \times \: 15 \times other \: diagonal \: \\ \\ 225 \: {cm}^{2} = \: \frac{1}{2} \times 15 \times other \: diagonals \: \\ \\ other \: diagonal \: = \frac{225 \: \times 2}{15} \\ \\ \bold{other \: diagonal \: = \: 30 \: cm \: }$

Answer 2

$\huge\mathfrak{\blue{Your\: Solution}}$

$\huge\bold{Given}$

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Area of a rhombus = $area \:of\:a\: rhombus \:=225 \: {cm}^{2} \:$

diagonal = 15 cm

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To find the other diagonal we have to use formula .

$<b>$

rhombus => ${1} / {2}$ × product of

length of a diagonal

rhombus => 1/5 ×15 × other diagonal .

DIAGONAL => 225 × 2 / 15

$\huge\bold{Diagonal\: =\: 30}$